Details

analyze59.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (+ x y) (+ y y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
15×	`distribute-rgt-out`
12×	`associate-/r*`
5×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 80

Calls

1 calls:

12.0ms

(/ (+ x y) (+ y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (+ x y) (+ y y))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5602	942

prune61.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-lft-out` `associate-/l*`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/ (+ x y) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ (+ x y) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5409	303

prune38.0ms

Filtered

26 candidates to 36 candidates (-38.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	38	1	39

Merged error: 0b

Counts

39 → 1

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Merged error: 0b

Counts

1 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample320.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	80	valid
4.0ms	191×	body	80	invalid

Details

analyze59.0ms

sample13.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite15.0ms

series5.0ms

simplify55.0ms

prune61.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify54.0ms

prune38.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune2.0ms

simplify1.0ms

end0.0ms

sample320.0ms

Profiling